计量经济学实验题四及答案

4.研究青春发育与远视率（对数视力）的变化关系，测得结果如下表：年龄（岁）x远视率（%）y对数视力Y=lny663.644.153761.064.112838.843.659913.752.6211014.502.674118.072.088124.411.484132.270.82142.090.737151.020.02162.510.92173.121.138182.981.092试建立曲线回归方程yˆ=abxe（Yˆ=aln+bx）并进行计量分析。\4.（1）利用eviews可得到建立青春发育与对视力的散点图：有题意可知青春发育与对视力的回归方程：Yˆ=aln+bx（2）有eviews可知各参数为DependentVariable:LNYMethod:LeastSquaresDate:10/23/12Time:16:52Sample:113Includedobservations:13VariableCoefficientStd.Errort-StatisticProb.C5.7301980.6057009.4604630.0000X-0.3139400.048187-6.5150440.0000R-squared0.794184Meandependentvar1.962923AdjustedR-squared0.775473S.D.dependentvar1.371926S.E.ofregression0.650076Akaikeinfocriterion2.1171840123455101520XLNYSumsquaredresid4.648592Schwarzcriterion2.204100Loglikelihood-11.76170F-statistic42.44580Durbin-Watsonstat0.662056Prob(F-statistic)0.000043Lna=5.730198a=-0.313940所以Yˆ=aln+bx=5.730198-0.313940x（3）模型检验从回归估计结果看，模型拟合一般，794184.02R，t值为9.460463-6.515044，斜率项为-0.313940，这表明孩子的对数视力随着年龄的增加而呈平均下降趋势。